199959984 has 180 divisors, whose sum is σ = 689681304. Its totient is φ = 53738496.

The previous prime is 199959983. The next prime is 199959989. The reversal of 199959984 is 489959991.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (199959983) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 119119 + ... + 120785.

Almost surely, 2^199959984 is an apocalyptic number.

199959984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199959984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344840652).

199959984 is an abundant number, since it is smaller than the sum of its proper divisors (489721320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

199959984 is a wasteful number, since it uses less digits than its factorization.

199959984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1712 (or 1696 counting only the distinct ones).

The product of its digits is 9447840, while the sum is 63.

The square root of 199959984 is about 14140.7207737088. The cubic root of 199959984 is about 584.7645425431.

The spelling of 199959984 in words is "one hundred ninety-nine million, nine hundred fifty-nine thousand, nine hundred eighty-four".